![]() ![]() For the multivariable calulus material, we will use Vector Calculus (4th edition) by Susan Jane Colley (ISBN 978-5-2).For the linear algebra material, we will use the same textbook as in 290-1, Linear Algebra with Applications (5th edition) by Otto Brescher (ISBN 978-7-4).Most administrative aspects of the course will be handled using Canvas. ![]() This example generalises to higher dimensions, and we will make heavy use of the tools of linear algebra in our study of multivariable calculus. If $f$ is a nicely behaved function of two variables, then $f(x,y) = 0$ describes a curve in $\mathbb^2$ that is orthogonal to the vector $(f_x(a,b), f_y(a,b))$, where $f_x$ and $f_y$ are the partial derivatives of $f$ with respect to $x$ and $y$, respectively. You might be wondering, what does this have to do with linear algebra? Here's one example. In the second half of the quarter, we will generalise what you have learnt about differential calculus to functions of more than one variable. In the first half of this quarter we will continue this journey, and use the tools of linear algebra to parametrise certain kinds of curves and surfaces-this skill will prove to be extremely important in Math 290-3 next quarter! Last quarter was all about linear algebra, getting to grips with the tools of vectors and matrices and using them to interpret particular kinds of algebraic problems geometrically. Welcome to Math 290-2! This is the second in the three-quarter sequence on linear algebra and multivariable calculus for MENU. Linear Algebra and Multivariable Calculus (Math 290) - Winter 2019
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